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264229901325 = 325213569158761
BaseRepresentation
bin1111011000010101010…
…1000101010000001101
3221021000122011202000200
43312011111011100031
513312120323320300
6321215135444113
725042602050355
oct3660525052015
9837018152020
10264229901325
11a2071988785
1243262086639
131bbbc1c4150
14cb08651b65
156d17211200
hex3d8554540d

264229901325 has 72 divisors (see below), whose sum is σ = 510569066280. Its totient is φ = 129852979200.

The previous prime is 264229901323. The next prime is 264229901333. The reversal of 264229901325 is 523109922462.

264229901325 is a `hidden beast` number, since 2 + 6 + 422 + 9 + 90 + 132 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 225877770756 + 38352130569 = 475266^2 + 195837^2 .

It is not a de Polignac number, because 264229901325 - 21 = 264229901323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264229901323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1584945 + ... + 1743705.

Almost surely, 2264229901325 is an apocalyptic number.

264229901325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264229901325 is a deficient number, since it is larger than the sum of its proper divisors (246339164955).

264229901325 is a wasteful number, since it uses less digits than its factorization.

264229901325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159359 (or 159351 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 264229901325 in words is "two hundred sixty-four billion, two hundred twenty-nine million, nine hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 569 585 975 1707 2845 2925 5121 7397 8535 14225 22191 25605 36985 42675 66573 110955 128025 158761 184925 332865 476283 554775 793805 1428849 1664325 2063893 2381415 3969025 6191679 7144245 10319465 11907075 18575037 30958395 35721225 51597325 90335009 92875185 154791975 271005027 451675045 464375925 813015081 1174355117 1355025135 2258375225 3523065351 4065075405 5871775585 6775125675 10569196053 17615326755 20325377025 29358877925 52845980265 88076633775 264229901325